[In Kali-yuga] "Men and women will live together merely because of
superficial attraction, and success in business will depend on deceit.
Womanliness and manliness will be judged according to one's expertise
in sex, and a man will be known as a brahmana just by his wearing a
thread." (SB 12.2.3)

However, Vedic society in the words of dharma sastras frankly
forbids dvijas to divorce.

"Neither by sale nor by repudiation is a wife released from her
husband; such we know the law to be, which the Lord of creatures
(Prajapati) made of old. "Once is the partition (of the
inheritance) made, (once is) a maiden given in marriage, (and) once
does (a man) say,' I will give;' each of those three (acts is done)
once only." (Manu-samhita 9.46-47)

There are some cases of separation mentioned in sastras though. One
reason is when wife leaves her husband.

"10) Paunarbhavaputra. A son born to a woman after becoming a widow
- or after being divorced by her husband by her willingly going with
another man is called a Paunarbhavaputra." (Puranic Encyclopedia,
entry 'Putra')

Such cases show a degraded status and thus Srila Prabhupada said
that divorce is fit only for sudras (SB 9.3.21 p., 9.20.15 p.). Status
of the modern society with its man-made laws is even lower.

Main reasons for divorce:

- marriage for sense gratification, rajo guna (BG 18.38 p., SB
3.14.19 p., 3.21.15 p., 7.13.26 p.)
"A father who is a chronic debtor, an adulterous mother, a beautiful
wife, and an unlearned son are enemies (in one's own home)." (Canakya
Pandita's Niti-sastra 6.11)
- no consultation of astrologer before marriage (SB 3.21.15 p.)
- marriage not according to mutual gunas - daiva/asura (SB 3.24.15
p.), pratiloma/anuloma (SB 9.18.23 p.)
- woman's weakness (SB 4.4.3 p.)
- husband does not want to become a servant of his wife (SB 4.25.56
p.)
- dissatisfaction of the family members (SB 5.13.8 p.)
- misery of material life (SB 5.14.19 p.)
- envy, cheating and enmity (SB 5.14.37 p.)
- woman is not trained to be submissive to the will of her husband (SB
9.30.10 p.)

Reasons for not divorcing:

- to maintain social order
- to advance in Krishna consciousness (SB 10.20.17 p., etc.)
- after divorce only father (not mother) is delivered by son (SB
9.20.22 p.)
- "If she [a woman] is separated from her husband and dies elsewhere
she cannot attain the region of her husband till the day of final
deluge [at the end of kalpa]." (Garuda Purana 2.26.52)
- "Separation from the wife, disgrace from one's own people, an enemy
saved in battle, service to a wicked king, poverty, and a mismanaged
assembly: these six kinds of evils, if afflicting a person, burn him
even without fire." (Canakya Pandita's Niti-sastra 2.14)

Solutions to prevent divorce:

- a compulsory marriage:

"2. There must be compulsory marriage of young boys and girls
attaining twenty-four years of age and sixteen years of age
respectively. There is no harm in coeducation in the schools and
colleges, provided the boys and girls are duly married, and in case
there is any intimate connection between a male and female student,
they should be married properly without illicit relation. The divorce
act is encouraging prostitution, and this should be abolished." (SB
1.17.38 p.)

- willing separation by mutual consent or by the Vedic arrangement
at a certain age (SB 5.13.8 p.). This refers to sannyasa.

- education and training in families following Vedic ways and in
Vedic varnasrama colleges

Quotes about remarriage after divorce:

On the dharma sastra level (non-Vaishnava), remarriage is allowed
in few cases: "If the husband is untraceable, dead, or has
renounced the world, is impotent or degraded - in these cases of
emergency a woman can remarry." (Garuda Purana 1.107.28)

"Another man is ordained for women in five calamities: When the
husband is missing and is unheard of; the husband dies; when the
husband is impotent; when the husband has become an ascetic; the
husband has become depraved." (Agni Purana 154.5)

Srila Prabhupada discouraged it since most divorces do not follow
the above conditions:

"Giving up the association of her husband does not mean, however,
that a woman should marry again and thus indulge in prostitution. If a
chaste woman unfortunately marries a husband who is fallen, she should
live separately from him. Similarly, a husband can separate himself
from a woman who is not chaste according to the description of the
sastra. The conclusion is that a husband should be a pure Vaisnava and
that a woman should be a chaste wife with all the symptoms described
in this regard. Then both of them will be happy and make spiritual
progress in Krsna consciousness." (SB 7.11.28 p.)

Srila Prabhupada's letter to Rupanuga - Vrindaban 9 September,
1967:

"Anyway, both your wife and yourself cannot think of marrying
again; that is not my advice. Even if your wife decides to marry
again, for your part you should forget it; and if by the Grace of
Krishna you can live peacefully without any wife, completely devoted
to K.C., that will be the best part of your life. You can love and put
all your affection to the child, and try to make him fully K.C."

Srila Prabhupada's letter to Silavati - New Vrindavan 14 June,
1969:

"Regarding the suggestion that you remarry, I have never suggested
such thing, so you need not trouble yourself with this. As I have told
you in Los Angeles, I wish that the mother's who have no husband at
present should not remarry, but should dedicate their time to seeing
that their children are brought up very nicely in Krishna
Consciousness."

Srila Prabhupada's letter to Rupanuga - New Delhi 21 August,
1975:

"Regarding remarriage, no, remarriage should be always discouraged.
Remarriage means encouraging sense gratification. Our mission is to
curtail sense gratification. Three times marrying in a year, this is
not good, and they are doing this."

Srila Prabhupada's letter to Jayananda - Vrindaban 1 September,
1975:

"Why should you remarry? Rather you should take sannyasa. Now you
are getting very good training. Why has Jayatirtha suggested you to
remarry?"

Srila Prabhupada's letter to Anangamanjari - New York 19 July,
1976:

"It is not advisable to marry again as this may disturb your former
husband who is now engaged in preaching activities. So rather you can
come here to New York where your service will be appreciated and there
is very nice association with so many nice girls."